Family Information
| Genus: | $8$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{18}$ |
| Group identifier: | $[36,5]$ |
| Signature: | $[ 0; 2, 18, 18 ]$ |
| Conjugacy classes for this refined passport: | $2, 25, 36$ |
The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}\times E\times E$ |
| Corresponding character(s): | $6, 8, 14, 16$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
8.36-5.0.2-18-18.1.1
| (1,10) (2,11) (3,12) (4,13) (5,14) (6,15) (7,16) (8,17) (9,18) (19,28) (20,29) (21,30) (22,31) (23,32) (24,33) (25,34) (26,35) (27,36) | |
| (1,22,7,20,5,26,3,24,9,19,4,25,2,23,8,21,6,27) (10,31,16,29,14,35,12,33,18,28,13,34,11,32,17,30,15,36) | |
| (1,36,6,30,8,32,2,34,4,28,9,33,3,35,5,29,7,31) (10,27,15,21,17,23,11,25,13,19,18,24,12,26,14,20,16,22) |